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Assuming the Ps and Is are indistinguishable: There are 10! / 3! / 3! = 100800 ways If the Ps and Is are distinguishable, then there are 10! = 3628800 ways
5+10+10 5+5+5+10 5+5+5+5+5 5+20 Four ways.
There are 13 ways.
10 ways.
240